Dynamics in One Complex Variable
by John Milnor
Publisher: Princeton University Press 1991
ISBN/ASIN: 0691124884
ISBN-13: 9780691124889
Number of pages: 146
Description:
This volume studies the dynamics of iterated holomorphic mappings from a Riemann surface to itself, concentrating on the classical case of rational maps of the Riemann sphere. These lectures are intended to introduce some key ideas in the field, and to form a basis for further study. The reader is assumed to be familiar with the rudiments of complex variable theory and of two-dimensional differential geometry, as well as some basic topics from topology.
Download or read it online for free here:
Download link
(1.1MB, PDF)
Similar books
Complex Analysis
by Christian Berg - Kobenhavns Universitet
Contents: Holomorphic functions; Contour integrals and primitives; The theorems of Cauchy; Applications of Cauchy's integral formula; Zeros and isolated singularities; The calculus of residues; The maximum modulus principle; Moebius transformations.
(7562 views)
by Christian Berg - Kobenhavns Universitet
Contents: Holomorphic functions; Contour integrals and primitives; The theorems of Cauchy; Applications of Cauchy's integral formula; Zeros and isolated singularities; The calculus of residues; The maximum modulus principle; Moebius transformations.
(7562 views)
Theory of Functions of a Complex Variable
by Heinrich Burkhardt - D. C. Heath
Contents: Complex numbers and their geometrical representation; Rational functions of a complex variable; Theory of real variables and their functions; Single-valued analytic functions of a complex variable; General theory of functions; etc.
(4796 views)
by Heinrich Burkhardt - D. C. Heath
Contents: Complex numbers and their geometrical representation; Rational functions of a complex variable; Theory of real variables and their functions; Single-valued analytic functions of a complex variable; General theory of functions; etc.
(4796 views)
Introduction to Complex Analysis
by W W L Chen - Macquarie University
Introduction to some of the basic ideas in complex analysis: complex numbers; foundations of complex analysis; complex differentiation; complex integrals; Cauchy's integral theorem; Cauchy's integral formula; Taylor series; Laurent series; etc.
(16386 views)
by W W L Chen - Macquarie University
Introduction to some of the basic ideas in complex analysis: complex numbers; foundations of complex analysis; complex differentiation; complex integrals; Cauchy's integral theorem; Cauchy's integral formula; Taylor series; Laurent series; etc.
(16386 views)
Elementary Analytic Functions: Complex Functions Theory a-1
by Leif Mejlbro - BookBoon
This is an introductory book on complex functions theory. From the table of contents: Introduction; The Complex Numbers; Basic Topology and Complex Functions; Analytic Functions; Some elementary analytic functions; Index.
(11543 views)
by Leif Mejlbro - BookBoon
This is an introductory book on complex functions theory. From the table of contents: Introduction; The Complex Numbers; Basic Topology and Complex Functions; Analytic Functions; Some elementary analytic functions; Index.
(11543 views)